Derived category of toric varieties with small Picard number

• Autorzy: Laura Costa , Rosa Miró-Roig
• Języki publikacji: EN

Abstrakty

EN

This paper aims to construct a full strongly exceptional collection of line bundles in the derived category D b(X), where X is the blow up of ℙn−r ×ℙr along a multilinear subspace ℙn−r−1×ℙr−1 of codimension 2 of ℙn−r ×ℙr. As a main tool we use the splitting of the Frobenius direct image of line bundles on toric varieties.

Słowa kluczowe

EN

Derived categories; Toric varieties; Full strongly exceptional collections

Kategorie tematyczne

• 14F05: Sheaves, derived categories of sheaves and related constructions
• 14M25: Toric varieties, Newton polyhedra

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 4
• Strony: 1280-1291

Daty

wydano

2012-08-01

online

2012-05-31

Twórcy

autor

Laura Costa

• Universitat de Barcelona

autor

Rosa Miró-Roig

• Universitat de Barcelona

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0060-4